Slow uniform rotation reduces the critical adiabatic exponent for the stability of gaseous stars
Yucong Wang
Abstract
We prove that any sufficiently slow uniform rotation stabilizes the supermassive star under axi-symmetric perturbations, and the stability persists for every adiabatic exponent in a left neighborhood of the mass-critical one. The key new ingredient of the linear analysis is a structural property of the self-similar family inherited from the mass-critical scaling: the associated self-similar direction becomes a reduced kernel direction of a modified linearized operator.
Create a lesson
Related papers
Learning Lyapunov Operators for Nonlinear Systems
Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández et al.
Existence of Admissible Subsolutions to the Dirichlet Problem for Symmetric Augmented k-Hessian Type Equations in Bounded Domains
Quang Hong Dinh, Bang Van Tran, Ngoan Tien Ha et al.
The Regularity datum on time-varying graph domains and Dirichlet--Regularity duality
Martin Dindoš
Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents
Michael Novack, Reinaldo Resende
Isolated singularities of the capillary equation with negative gravity
Bin Deng, Jiahuan Li, Yilu Liu et al.
Local behavior for solutions to inhomogeneous singular parabolic p-Laplace equations
Xia Hao, Yan Li, Zhiwen Zhao